Deblurring procedure is proposed for accessing three-dimensional (3D) differential distributions relative to the reaction plane in energetic high-multiplicity heavy-ion collisions. Because reaction plane direction can be only coarsely estimated in measurements for the collisions, any direct attempts to measure 3D characteristics will yield blurred results. However, it is not difficult to estimate the distribution of the estimated reaction plane direction around the true. Once that blurring function is known, a deblurring procedure can be applied to reveal underlying characteristics of the emission relative to the true reaction plane. This is similar to image restoration in optics, such as from an image recorded with a shaken camera.